From the table below you can see that 11.6v would actually be only around 20% capacity - well into battery damage territory. Half charge is around 12.1v (on a rested battery with no loads of course). My preference is to never to let the voltage drop below 12.2v, but with smaller battery capacity this can be impractical. I would suggest a minimum of 11.9v or higher if long term damage is to be avoided.
600573_SoC_Table.jpg